The accident occurred at an en route airport while the student pilot was on a cross-country flight. Upon arrival at the en route airport, he entered traffic for a landing on runway 03 in winds from 010 degrees at 10 kts gusting to 27 kts. The student reported that on final approach, he lowered 20 degrees of flaps and continued with a crab to the left. Reportedly during touchdown, he encountered a strong gust of wind and suddenly found the plane about 6 to 8 ft above the runway. He held slight up elevator hoping the plane would settle to the runway, but the nose fell and the plane bounced 2 times. After the plane was slowed during the landing roll, the pilot noticed a flat nose tire. He cleared the runway and shut down. An investigation revealed that the propeller and firewall were bent. Reportedly, the student had received no instruction in crosswind landings or recovery from bounced landings.